{
  "id": "1401.3628",
  "version": "v1",
  "published": "2014-01-15T15:32:05.000Z",
  "updated": "2014-01-15T15:32:05.000Z",
  "title": "On algebraic independence of certain multizeta values in characteristic p",
  "authors": [
    "Yoshinori Mishiba"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study multizeta values over function fields in characteristic $p$. For each $d \\geq 2$, we show that when the constant field has cardinality $> 2$, the field generated by all multizeta values of depth $d$ is of infinite transcendence degree over the field generated by all single zeta values. As a special case, this gives an affirmative answer to the function field analogue of a question of Y.\\ Andr\\'e.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-15T15:32:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J93",
      "11M38",
      "11G09"
    ],
    "keywords": [
      "algebraic independence",
      "characteristic",
      "single zeta values",
      "study multizeta values",
      "function field analogue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.3628M"
    }
  }
}